Phase Diagram of the Low-Density Two-Dimensional Homogeneous Electron Gas

N. D. Drummond and R. J. Needs
Phys. Rev. Lett. 102, 126402 – Published 24 March 2009
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Abstract

We use quantum Monte Carlo methods to calculate the zero-temperature phase diagram of the two-dimensional homogeneous electron gas. We find a transition from a paramagnetic fluid to an antiferromagnetic triangular Wigner crystal at density parameter rs=31(1)a.u. and a transition to a ferromagnetic crystal at rs=38(5)a.u. The fully spin-polarized fluid is never stable. We search for, but do not find, the ferromagnetic “hybrid” phase proposed by H. Falakshahi and X. Waintal [Phys. Rev. Lett. 94, 046801 (2005)].

  • Figure
  • Received 6 February 2008

DOI:https://doi.org/10.1103/PhysRevLett.102.126402

©2009 American Physical Society

Authors & Affiliations

N. D. Drummond and R. J. Needs

  • TCM Group, Cavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom

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Issue

Vol. 102, Iss. 12 — 27 March 2009

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